GCF of 5347/617, 1617/1273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5347/617, 1617/1273 i.e 1/785441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5347/617, 1617/1273.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5347/617,1617/1273?
Given fractions are 5347/617,1617/1273
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5347/617,1617/1273, numerators are 5347,1617
Denominators are 617,1273
The GCF of 5347,1617 is 1 .
LCM of 617,1273 is 785441.
The greatest common factor of 5347/617,1617/1273 = [GCF of 5347,1617]/[LCM of 617,1273]= 1/785441
Therefore, the GCF of 5347/617,1617/1273 is 1/785441.
To find the highest common factor of 5347,1617, we have to find the factors of both numbers and list the highest common factor.
The factors of 5347 are 1, 5347
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The HCF of 5347,1617 is 1.
Lets's calculate GCF of 5347,1617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5347,1617 By Matching Biggest Common Factor Method
Now, list down the factors of 5347
:1,5347
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 5347,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 5347,1617 is 1.
Lets's calculate LCM of 617,1273
Given numbers has no common factors except 1. So, there LCM is their product i.e 785441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785441
Therefore, the GCF of Fractions 5347/617,1617/1273 is 1/785441
Least Common Multiple of 617,1273 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 617,1273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,1273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,1273) x common factors =1 x 1 = 1
LCM(617,1273) = ( 617 × 1273 ) / 1
LCM(617,1273) = 785441 / 1
LCM(617,1273) = 785441
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5347/617, 1617/1273
1. What is the HCF of 5347,1617?
The HCF of 5347,1617 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5347/617, 1617/1273?
Answer: GCF of Numerators as per given numbers 5347/617, 1617/1273 is
GCF of Numerators i.e. for 5347,1617 is 1
LCM of denominators i.e. for 617,1273 is 785441.
Thus, GCF of Fractions is 1/785441.Finally, GCF of Fractions for 5347/617, 1617/1273 is 1/785441.